Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Multiple Pipe Systems01:21

Multiple Pipe Systems

Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
Single Pipe Systems01:24

Single Pipe Systems

In pipe flow analysis, problems are typically categorized into three types — Type I, Type II, and Type III — based on the known parameters and the desired outcome. Each type of problem addresses specific engineering requirements using fluid properties, pipe characteristics, and operational conditions.
In a Type I problem, fluid properties (density and viscosity), pipe characteristics (including diameter, length, and surface roughness), and the flow rate or average velocity are known. The...
Compartment Models: Two-Compartment Model01:20

Compartment Models: Two-Compartment Model

The two-compartment model divides the body into central and peripheral compartments to account for varying blood perfusion rates among organs and tissues, affecting drug distribution. The central compartment includes blood and highly perfused tissues with rapid drug distribution, while the peripheral compartment contains tissues with slower drug distribution. After a single IV bolus dose, the drug concentration is high in plasma and low in tissues. The drug distribution between compartments...
Model Approaches for Pharmacokinetic Data: Compartment Models01:14

Model Approaches for Pharmacokinetic Data: Compartment Models

Compartmental analysis is a widely adopted approach to characterizing drug pharmacokinetics. It uses compartment models that conceptualize the body as a collection of reversibly communicating compartments, each representing a group of tissues exhibiting similar drug distribution characteristics. The movement rate of the drug between these compartments is typically described by first-order kinetics.
Two primary types of compartment models are recognized: mammillary and catenary. The more...
Compartment Models: Single-Compartment Model01:14

Compartment Models: Single-Compartment Model

The single-compartment model serves as a simplified representation of the human body. This model assumes that the body functions as a single, well-mixed open compartment. When a drug is administered intravenously, it enters the body and quickly distributes uniformly. The drug then undergoes biotransformation and elimination, ultimately leaving the body. The volume of this compartment is referred to as the apparent volume of distribution into which the drug can uniformly distribute. In this...
General Characteristics of Pipe Flow I01:22

General Characteristics of Pipe Flow I

Pipe flow refers to the movement of fluids within fully enclosed conduits, typically cylindrical in shape, such as water pipes or hydraulic hoses. These conduits are designed to withstand high-pressure gradients that drive fluid movement, contrasting with open-channel flows, where gravity is the primary driving force. Rectangular conduits, like air conditioning and heating ducts, generally operate at lower pressures and are less suited for high-pressure applications.
The classification of fluid...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Subjective Reasons for Non-Reporting of Adverse Drug Reactions in a Sample of Physicians in Outpatient Care.

Pharmacopsychiatry·2016
Same author

Post-transplant diabetes mellitus - risk factors and effects on the function and morphology of the allograft.

Acta physiologica Hungarica·2012
Same author

Functional and histopathologic changes in renal transplant patients with new-onset diabetes and dyslipidemia.

Transplantation proceedings·2011
Same author

Periodontal treatment completed before the 35th week of pregnancy appeared to have a beneficial effect on birthweight and time of delivery. Letter to the editor.

Journal of dental research·2009
Same author

Benefits of periodontal therapy when preterm birth threatens.

Journal of dental research·2009
Same author

Levofloxacin versus clarithromycin in COPD exacerbation: focus on exacerbation-free interval.

The European respiratory journal·2004

Related Experiment Video

Updated: May 28, 2026

Establishing an Octopus Ecosystem for Biomedical and Bioengineering Research
09:10

Establishing an Octopus Ecosystem for Biomedical and Bioengineering Research

Published on: September 22, 2021

Compartmental systems with pipes.

I Györi1, J Eller

  • 1Computing Center of the Szeged University of Medical Sciences, 4⧸a Pécsi utca, 6720 Szeged, Hungary.

Mathematical Biosciences
|October 22, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a generalized compartmental model incorporating transit times via "pipes." The research establishes mathematical properties and solutions for these delay differential systems, advancing modeling capabilities.

More Related Videos

A Flow-through Exposure System for Evaluating Suspended Sediments Effects on Aquatic Life
12:15

A Flow-through Exposure System for Evaluating Suspended Sediments Effects on Aquatic Life

Published on: January 9, 2017

Related Experiment Videos

Last Updated: May 28, 2026

Establishing an Octopus Ecosystem for Biomedical and Bioengineering Research
09:10

Establishing an Octopus Ecosystem for Biomedical and Bioengineering Research

Published on: September 22, 2021

A Flow-through Exposure System for Evaluating Suspended Sediments Effects on Aquatic Life
12:15

A Flow-through Exposure System for Evaluating Suspended Sediments Effects on Aquatic Life

Published on: January 9, 2017

Area of Science:

  • Mathematical modeling
  • Differential equations
  • Systems biology

Background:

  • Classical compartmental models lack explicit transit time representation.
  • Modeling material flow and transformations requires accounting for delays.

Purpose of the Study:

  • To generalize compartmental models by incorporating pipe transit times.
  • To derive and analyze a linear delay differential system for these generalized models.

Main Methods:

  • Development of a general linear delay differential system.
  • Establishment of solution properties: nonnegativity, boundedness, and stability.
  • Derivation of asymptotic solutions for stationary and asymptotically stationary systems.

Main Results:

  • A novel framework for compartmental modeling with transit delays is presented.
  • Key mathematical properties of the derived delay differential system are proven.
  • Asymptotic behavior of the system is characterized.

Conclusions:

  • The presented theory offers a more comprehensive approach to compartmental modeling.
  • This generalization encompasses and extends previous results for simpler models.
  • The framework is applicable to systems where material transit times are significant.